10189675685952 has 224 divisors, whose sum is σ = 34237808486400. Its totient is φ = 2911110160896.

The previous prime is 10189675685899. The next prime is 10189675685963. The reversal of 10189675685952 is 25958657698101.

10189675685952 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 9 + 6 + 7 + 568 + 5 + 9 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213869749 + ... + 213917387.

Almost surely, 2^{10189675685952} is an apocalyptic number.

10189675685952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10189675685952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17118904243200).

10189675685952 is an abundant number, since it is smaller than the sum of its proper divisors (24048132800448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10189675685952 is a wasteful number, since it uses less digits than its factorization.

10189675685952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65350 (or 65334 counting only the distinct ones).

The product of its (nonzero) digits is 326592000, while the sum is 72.

The spelling of 10189675685952 in words is "ten trillion, one hundred eighty-nine billion, six hundred seventy-five million, six hundred eighty-five thousand, nine hundred fifty-two".